A unified approach is developed for the analysis of singularities scattered field and vanishing scattering harmonics. Rigorous proofs are presented existence complex resonance solution to problem plane wave by a circular homogeneous dielectric cylinder. The method employs mathematically correct spectral theory open structures involving generalized conditions at infinity when frequencies may be ...

the gravity method is one of the first geophysical techniques used in oil and gas exploration. an algorithm is developed for a fast quantitative interpretation of gravity data generated by geometrically simple but also the estimated depths and other model parameters of a buried structure. following abdelrahman et al (1989). the general gravity anomaly expression produced by a sphere, an infinit...

The stress and displacement fields are determined inside and outside a circular inclusion located in the vicinity of a circular void in an infinite elastic solid, within a circular cylinder, or near the free surface of a half-space, in the case when the inclusion is characterized by a uniform eigenstrain of the antiplane shear type. The fields are obtained as the sum of their infinite-medium st...

Wall-layer modeling for a Cartesian grid solver is developed by coupling an orthogonal curvilinear grid solver using overset grid interpolation and coupled pressure Poisson solver. A thin wall-layer grid is considered sufficient to resolve the boundary layer. Initial validation is performed for laminar flows over a circular cylinder, where the wall-layer model shows up to 10% improvement in the...

In this paper, a diffuse-interface immersed boundary method (IBM) is proposed to treat three different thermal boundary conditions (Dirichlet, Neumann, Robin) in thermal flow problems. The novel IBM is implemented combining with the lattice Boltzmann method (LBM). The present algorithm enforces the three types of thermal boundary conditions at the boundary points. Concretely speaking, the IBM f...